{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# Introduction\n",
    "This experiment focuses on learning the $xy$ function using a simple KAN model. This will later on be used as a symbolic activation function itself to prove the concept of \"extendible\" symbolic activation functions and to show that having such an activation function can indeed help the training process in having faster and more accurate  convergence. The $xy$ function is defined as follows:\n",
    "$$ xy(x) = x_0 * x_1 $$\n",
    "where $x = [x_0, x_1]$"
   ],
   "id": "970c8945fd5c9242"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:13.250344Z",
     "start_time": "2024-05-09T06:27:09.779193Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import torch.cuda\n",
    "\n",
    "from kan import KAN, create_dataset\n",
    "\n",
    "# Let's set the device to be used for the dataset generation\n",
    "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
    "# device = 'cpu'\n",
    "\n",
    "def xy(x):\n",
    "    return x[:, [0]] * x[:, [1]]"
   ],
   "id": "8c68074396791092",
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Let's create an extensive dataset for the $xy$ function.",
   "id": "10afe2e28e22096c"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:13.424018Z",
     "start_time": "2024-05-09T06:27:13.251332Z"
    }
   },
   "cell_type": "code",
   "source": [
    "dataset = create_dataset(\n",
    "    f=xy,\n",
    "    n_var=2,\n",
    "    train_num=10000,\n",
    "    test_num=1000,\n",
    "    device=device,\n",
    "    ranges=[(-10, 10), (-10, 10)]\n",
    ")"
   ],
   "id": "933e311db73997be",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Let's take a look at the dataset through a scatter plot.",
   "id": "b6b4bca80383ec8c"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:13.886290Z",
     "start_time": "2024-05-09T06:27:13.425002Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.scatter(dataset['train_input'][:, [0]].to('cpu'), dataset['train_input'][:, [1]].to('cpu'),\n",
    "            c=dataset['train_label'].flatten().to('cpu'), cmap='viridis')\n",
    "plt.title('Train Dataset')\n",
    "plt.xlabel('x0')\n",
    "plt.ylabel('x1')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ],
   "id": "e3810f6b64419170",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "Let's create a simple KAN model to learn the `xy` function. Simple application of KA theorem give us that the target function can be represented as follows\n",
    "$$ \n",
    "xy(x) = \\dfrac{1}{2}\\left( \\left(x_0 + x_1\\right)^2 - x_0^2 - x_1^2 \\right)\n",
    "$$\n",
    "So a simple `[2, 3, 3, 1]` KAN model should be able to learn this function."
   ],
   "id": "e0e0f63562a5e604"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:14.011743Z",
     "start_time": "2024-05-09T06:27:13.887273Z"
    }
   },
   "cell_type": "code",
   "source": "model = KAN(width=[2, 3, 3, 1], grid=100, k=3, device=device)",
   "id": "7ea1f4706110b0d6",
   "outputs": [],
   "execution_count": 4
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Since we know its explicit form, we can use it to initialize the model.",
   "id": "b774a22986c1528e"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:17.054151Z",
     "start_time": "2024-05-09T06:27:14.013705Z"
    }
   },
   "cell_type": "code",
   "source": [
    "model(dataset['train_input'])\n",
    "model.fix_symbolic(0, 0, 0, 'x')\n",
    "model.fix_symbolic(0, 1, 0, 'x')\n",
    "model.fix_symbolic(0, 0, 1, 'x^2')\n",
    "model.remove_edge(0, 1, 1)\n",
    "model.remove_edge(0, 0, 2)\n",
    "model.fix_symbolic(0, 1, 2, 'x^2')\n",
    "model.fix_symbolic(1, 0, 0, 'x^2')\n",
    "model.remove_edge(1, 1, 0)\n",
    "model.remove_edge(1, 2, 0)\n",
    "model.remove_edge(1, 0, 1)\n",
    "model.fix_symbolic(1, 1, 1, 'x')\n",
    "model.remove_edge(1, 2, 1)\n",
    "model.remove_edge(1, 0, 2)\n",
    "model.remove_edge(1, 1, 2)\n",
    "model.fix_symbolic(1, 2, 2, 'x')\n",
    "model.fix_symbolic(2, 0, 0, 'x')\n",
    "model.fix_symbolic(2, 1, 0, 'x')\n",
    "model.fix_symbolic(2, 2, 0, 'x')\n",
    "model.plot()"
   ],
   "id": "f06862a421ec65f7",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.7779091596603394\n",
      "r2 is not very high, please double check if you are choosing the correct symbolic function.\n",
      "r2 is 0.7826252579689026\n",
      "r2 is not very high, please double check if you are choosing the correct symbolic function.\n",
      "r2 is 0.9846869111061096\n",
      "r2 is 0.9848194122314453\n",
      "Best value at boundary.\n",
      "r2 is 0.9986667633056641\n",
      "r2 is 0.9976706504821777\n",
      "Best value at boundary.\n",
      "r2 is 0.9954747557640076\n",
      "r2 is 0.9994252920150757\n",
      "r2 is 0.9984908103942871\n",
      "r2 is 0.9984245896339417\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 500x600 with 19 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:41.156097Z",
     "start_time": "2024-05-09T06:27:17.055133Z"
    }
   },
   "cell_type": "code",
   "source": "losses = model.train(dataset=dataset, opt='LBFGS', steps=20, device=device)",
   "id": "24cde08da2ea047a",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.27e-05 | test loss: 1.27e-05 | reg: 2.38e+01 : 100%|██| 20/20 [00:24<00:00,  1.20s/it]\n"
     ]
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "After some simple training, we finally have (quite) machine precision accuracy.",
   "id": "cc7190123c5f557e"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:41.423498Z",
     "start_time": "2024-05-09T06:27:41.157083Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(losses['train_loss'], label='train loss')\n",
    "plt.plot(losses['test_loss'], label='test loss')\n",
    "plt.legend()\n",
    "plt.yscale('log')\n",
    "plt.show()"
   ],
   "id": "21bc841e6c2b5606",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:43.659719Z",
     "start_time": "2024-05-09T06:27:41.424482Z"
    }
   },
   "cell_type": "code",
   "source": "model.plot()",
   "id": "1eafb70cc5f42e62",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 500x600 with 19 Axes>"
      ],
      "image/png": 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shsKlDFlZWWRkZJCens4+++7Lyaecwj777kt6ejoZGRlkZWW5LlFirOg10KRJE1q1bk2TJk10DSSRotfA6WecwaZNmzj9jDN0DeyOJyWaP3++V7duXS8UCnmhUMirDl4z8KrDnx+rW7euN3/+fNelSowUvwYALwT2q66BpFD8GjgCvPXgHaFrYLc0cinBggUL6NKlC7m5uXiet8vwN/Kx3NxcunTpwoIFCxxVKrGia0B0DVRNyCv+E0tyWVlZNG/enNzcXMLh8J8frw40BdYBBUU+PyUlhdTUVNasWUODBg3iW6zERGnXAEAIG7oUpWsg8ZR2DRwBLATOAr4o8vm6BnalkUsxkydPJicnZ5c3ldKEw2FycnKYMmVKjCuTeNE1ILoGqk4jlyI8zyM9PZ2VK1fuMgSuAzRk15ELQCgUolWrVixfvpxQKBSnaiUWyroGoOSRC+gaSCRlXQNHAW+y68gFdA0Up5FLERs3bmTFihW7XFAtgG+AU0r5Os/zWLFiBZs2bYpxhRJrpV0DAKlA2z9+LU7XQOIo6xoYA9Qt5et0DexM4VLEli1bdvlYLWAGsB34ajdfn52dHYOqJJ5KugYiDgGW/PFraXQNBF9Z18BH2M3FmWV8va4Bo3Apol69ert87GHgcKA78D27PhIrKi0tLTaFSdyUdA1UhK6B4CvrGrgP+DdwB9C6lM/RNWAULkU0btyY1q1b//m89BKgH3AdsIzSgyUUCtG6dWsaNWoUn0IlZopfA+WlayBxlHUN5AEXAr8C09n5EamugZ0pXIoIhUIMGjQIgMOA8cAUYEI5vnbw4MGaxEsARa+BitI1kBh2dw1kAxcBB2JzMEXpGiik1WLFZGVlcUizZryTk8N24GQgp4zP1/r2xFNaj0NbYClwDDaSjdA1kHjK6nWKuBiYiD3dmKprYBcauRTTYI89WHb88ewL9AyFdhssoVCIWbNm6YJKIA0aNGDmzJmEQiFSUsp+iegaSEzluQaeB54BMrAlyroGdqZwKW7cOPZ5/31W3X47P9WpQygU2mWYG/lYamoq8+bNo1OnTo6KlVjp3Lkzc+fOJTU1VddAkirPNXAT8F1KCu83b06nE05wU6hPKVyK+uQTuOkmuO46jh42jDVr1jBmzBhatWq106e1atWKMWPGsHbtWr2pJLDOnTvrGkhyu7sGRmRkcMjSpdTLy4OrrwbNMvxJcy4RGzbAscdCs2bw7rtQs+afv+V5Hps2bSI7O5u0tDQaNWqkSbsk43kev7/zDg3OOoushQvZ4y9/0TWQZMp8H5gzB7p1gwcegBtucFuoTyhcAMJh6NIFliyx//bbz3VF4kdLl9oNyJIlcMwxrqsRv7njDhgzBt54A0491XU1zumxGMD999sF8dxzChYRqZyhQ+Hkk+GSS2DdOtfVOKdwefNNuyj+9S/Qs3MRqazq1e0GNRyGXr2goKz9PBJfcofLmjV2l9GxI9x5p+tqRCTo9t7bAuaDD+C++1xX41Tyhsu2bdCzJ9SubRdDtWquKxKRRHDaaXDvvTBiBMyb57oaZ5I3XG69FRYvhhkzYM89XVcjIonkxhttkVDv3rB6tetqnEjOcHn5ZVvVMWoUnHSS62pEJNGkpMDTT0ODBnDxxZCf77qiuEu+cPn+e+jTB3r0gEpuUCgislsNG8L06fDVV3Dzza6ribvkCpecHGt02ndfmDAB1AQnIrHUti08/LC930yf7rqauKruuoC48Tzo3x9WrrRtXnSgj4jEQ+/esGgRDBgARx0Fhx3muqK4SJ6Ry8SJMGUKPPEEHH6462pEJFmEQjB2LLRsCRdeCElyDHJyhMvSpTa/cs01cNllrqsRkWRTt649Fvv5Z3uCkgS7biV+uGRmQvfu0KYNPPKI62pEJFkddBA8+SS89BKMH++6mphL7DkXz4Mrr7SAeesta5gUEXGla1f4+GP45z/huOPg+ONdVxQziT1yGTkSXn8dJk+2550iIq4NH26ryC66CDZudF1NzCRuuLz3nm2BfeutcM45rqsRETE1a8Lzz1trxBVX2EaXCSgxw+XXX+2uoH172+NHRMRPmje31atvvQUPPui6mphIvHApKLBgAbs7qJ7Y00oiElAdOtjTlfvug4ULXVcTdYkXLv/6F3z4Ibzwgm1/LSLiV7fdBmedZee/rF3rupqoSqxwmT3bhpjDhtm21yIiflatmi04ql3bNrjcvt11RVGTOOGyciVcfjmcdx7ccovrakREyqdxY2uwXLIEbr/ddTVRkxjhkpdnuxw3bAjPPqsNKUUkWE44wQ4XGzsWZs1yXU1UJMZs9w032LbWH31k5yeIiARN//7WYHnNNXDEEZCe7rqiKgn+yGXqVNtSYexYa0wSEQmiUMg21t1nH1vxmpPjuqIqCXa4fPkl9Otncy19+riuRkSkatLSbP5lxQoYPDjQG1wGN1yys+3grwMPhHHjNM8iIomhTRt7T3vuOZg0yXU1lRbMORfPg7594ZdfYPFiqFPHdUUiItFz8cU2h3z99fa4/+ijXVdUYcEcuYwdCzNm2AFgBx3kuhoRkegbNcpOrbzoIsjKcl1NhQUvXD7+GG6+2RK9WzfX1YiIxEbt2jb/kpkJV10VuPmXYIXLhg3Qs2fhmnARkUTWooU9oZkzJ3CHHQYnXHbsgEsvtYbJF16AGjVcVyQiEntdutiuI3fdZfsmBkRwwuX+++HNN2HaNNuuWkQkWdx9N5x6KlxyCaxb57qacglGuLzxhp3Lcs890LGj62pEROKrenVrGAe47DI7WsTn/B8uP/1kad2pk519ICKSjJo2tSc3ixbB0KGuq9ktf4fLtm02gV+njqV2ir/LFRGJqXbt7CnOyJEwd67rasrk73frIUNsG+oZM2DPPV1XIyLi3o03wt//blterV7tuppS+TdcZsyAjAwYPRpOPNF1NSIi/hAKwdNP2w7wF11kK2h9yJ/h8t131jTUsycMGOC6GhERf2nQwBosv/7amsp9yH/hsnWrdd43bw5PPaUNKUVEStK2rTVWPv00PP+862p24a+NKz3PDsxZtQo+/dS2nxYRkZJdeaVtcDlwIBx1lO2o7BP+GrlMmFB4+JePfkgiIr4UCsGjj0KrVjb/kp3tuqI/+Sdcliyxw3H69bO+FhER2b06dWz+5Zdf4NprfbPBpT/CJTMTevSAI48M3OZsIiLOpafbE5+XX7ajkn3AfbiEw3DFFXZewYwZUKuW64pERILnH/+AQYOsP/A//3FdjQ/CZeRImD0bpkyx7aVFRKRyhg2DY46x+ZeNG52W4jZc3n3X9gu7/XbbVlpERCqvZk1blpyXB5dfbkeVOOIuXH75xdL19NNtt2MREam6Zs3sSdDChfDAA87KCHle1ZcWrP/uO3J++KHiX+h5lW6S3PP446nXsGGlvlak0tdsOFzpDVR1zUplrf/+e3J//LFiXxTZlr965doZGx97bJWu16g0Ua6eM4dDevSIxh+1e0OHwgknsGHPPfVClUqr9DVbmRuiiRPhqKPYsGqVrlmplB/+/W8O7to1Pt9s0iQ44gg2rl7tPlw8z6P+fvtF44/a3Tey4d6JJ7Ip9t9NElhcrlnPg2eesVNUx49n0wEHxPb7ScLyPI/6sT6B1/Ng8mR7lPbYY2Tuv3+V/jj3q8UqIjvbhnq9ermuRKRsnmcjlmuugYcftu3RRfzK82zEMmAAPPSQtYdUUbDC5aGHrBu1Zk3XlYiULhIs/fpZsAwapA1Yxb8iwTJwoL3H9u8fles1OOHieTBmDFx/vV6o4l8KFgmSGAULBClccnMhJ8e6T0X8SMEiQRLDYIEghcvIkVC7NtSr57oSkV15np2r0a+f7Y+nYBE/8zx49lkLlpEjox4sEJRw8Tz7Adx0k16w4j+RYLn2WguWgQN1nYp/RYJl0CB7X7322phcr8EIl6wseyR2662uKxHZmYJFgiROwQJBCZdbboGGDW2lmIhfKFgkSOIYLOC3Y45LEmnsmThRL1zxj6LBMmaM9Qfo+hS/Khoso0bZ3GCMr1f/j1w++8x29tTplOIXChYJEgfBAn4PF8+Dyy6Ddu2gWjXX1YjYNTlhgoJFgiGyBVGcgwX8/lhs61b4/ntYsMB1JSKFwdK/v4JF/C8SLIMHxz1YIJojl3DYDqiJpuuus4n8Km6gJlJlChYJEsfBAtEcuVx3nS0Znjo1On9eQYF1j86apRexuKVgkSDxQbBANEcu559vx2vm50fnz3voIdug8txzo/PniVSG58FTT1mwZGQoWMTfIlsQDR4Mo0c7CxaIZriceSakpcENN1T9zyoosKOPR4/WC1nciQTLgAEWLDHYIkMkaiLBct119t55zTVOr9fohUsoBM89B08+aRPxVXH//XY0Z79+0alNpKIULBIkPgsWiPZS5C5dYK+94NJL7S9bGVu3Wrg8+WSlzyoXqRIFiwSJD4MFoh0uoRDMmwevvQbffFPxr/c86NkTmja1gBKJN8+zG5sBA+DRRxUs4m+Rht7rrrNjHnwSLBCLJsqjj7YRTIcONndSEe++a+H0xhu++QFJEokEy8CBFiwx3ntJpEoiwXL99RYsV1/tq+s1+uESCsGLL8KWLfbiLO/jscxMWxnWvz8cdljUyxIpk4JFgsTnwQKx2v6lTh2YP9/2s3nqqd0HTF4enHGGNUtmZPjuhyQJTsEiQRKAYIFYbv9y8skwdqw9u05JgauuKvkHkJUF550Hv/0GX3yhPcQkvjwPxo+3vZfGjnXaFyCyW5GG3htusGMe+vb17fUau3AJheyFum2b3REuXgy33w777Wdhk5cH779vzT7hMHzyCTRuHLNyRHYRGbEoWCQIIiOWAAQLxHrjylDIwuPQQ+0HcuyxcMwx0KABLF8OK1bABRfYlhqNGsW0FJFdTJhgNz4KFgmCZ56xR2EBCBaIUriEgPwtW0r/hFNOgYUL4c034cMPYfNmW1H217/CkUfaSKasrxeJshCQ73nwwAO27L2qjb8iMfTn9Xr//XDRRYG4XkOeV9lux0I/fvIJOT/8EI16yq3p6afTcO+94/o9JXHompUg+enTT8n56ae4fs+92rWr0vUalXAREREpyt3+Kp5nE/nKNgkKzyv8T8Tvtm+veCN7FLkLl19/hWbNKtfJL+LCsmU2P7hsmetKRMq2cCHUrw8PPuisBHfhss8+8MIL8N57tr2+iIhU3dq10KuX3bjffruzMtxuO3z66TBsGAwfDnPmOC1FRCTwtm2Diy+G2rXtJF+HO8u739P+llvgnHMsaVetcl2NiEhw3XEHLF0K06c7b0p3Hy4pKZawDRtCjx7ROyZZRCSZzJplDcEjRsAJJ7iuxgfhAhYsL70EX34ZnWOSRUSSyfLldpZLt2628aoP+CNcwLaFyciwTQSfe851NSIiwZCTAxdeaIuknnjCN9vCxHZvsYrq2xc++sj2eWrbFtq0cV2RiIh/eZ5tvLpqlW2tlZbmuqI/+WfkApa448ZBq1Y2vMvOdl2RiIh/PfssTJsGjz3mu0MW/RUuAHXr2vzL2rU2klE3tIjIrpYtsznqq66y5cc+479wATj4YJg4EWbMsJGMiIgUysy03ZEPOwxGjXJdTYn8NedSVPfuNv9y001w3HFw0kmuKxIRcS8ctqc6WVl2nHzt2q4rKpE/Ry4RI0bYAWM9e8KGDa6rERFx75FHbEeTiROhRQvX1ZTK3+FSsya8+CLk5sJll1lii4gkqw8+gH/9y3Y26dLFdTVl8ne4AOy3n/W9vPGG7UMmIpKM1q2zU1NPPRXuvtt1Nbvl/3AB6NTJ0vqee+yoZBGRZFJQYMECMHUqVPfvdHlEMMIF4M47oWNHuOQSWLPGdTUiIvEzdKgtcJo2DZo2dV1NuQQnXKpVs8djtWvbBP/27a4rEhGJvblzYeRIuO8+aNfOdTXlFpxwAdhzT+t9WbwYhgxxXY2ISGytWgV9+tixJAHb1DdY4QLW7zJqFIwZAy+/7LoaEZHYyMuzzvuGDWHCBN9sSFle/p8VKsmgQfb8sU8fOPJIOOgg1xWJiETXzTfD11/bUfANGriupsKCN3IBS/AJE2Dffa2TPyfHdUUiItHz/PPw9NP2hOboo11XUynBDBewraVfeglWrID+/bXBpYgkhi+/hAEDbOnxFVe4rqbSghsuAIcfbofjTJliWyGIiARZdrZtSNm6NTz6aODmWYoK5pxLUZddZvMvgwbZaZbHHOO6IhGRivM8Oyjx11/tPa1OHdcVVUmwRy4Rjzxip1Z2725bUYuIBM3jj8PMmfDkk5Ce7rqaKkuMcKld2+ZfMjPhyis1/yIiwfLpp9a7N2gQ/OMfrquJisQIF4CWLWHyZHj9detmFREJgg0brJ/luONg+HDX1URN4oQLWBfrrbfCHXfY2nARET/bscNWhOXl2b5hNWq4rihqEitcAO69F9q3txUXv/7quhoRkdI98AAsXGgrXps1c11NVCVeuFSvbg1IYAFTUOC2HhGRkrz5pp1RddddcNZZrquJusQLF4C994YXXoAPP7RzYERE/GTNGrj8cujQwR7lJ6DEDBeA006zu4IHH4TZs11XIyJitm2zCfw6dWDSJEhJzLfhxPxbRdxyC5x3nt0hrFrluhoREbj9dli2DKZPh8aNXVcTM4kdLqEQPPusbVndvbutyBARceXll+Gxx+Chh+D4411XE1OJHS5gW1W//DJ89VXgDtsRkQTy/fe2vUuPHvZrgkv8cAFo2xbGjrVtFaZOdV2NiCSbrVvhwgttufG4cYHekLK8gr9xZXn16QOLFtkdQ9u2tqOyiEiseZ5t67J6ta1gTUtzXVFcJMfIBexOYdw4OPBA6NbNtrYWEYm1Z56x3rtx4+Cww1xXEzfJEy5gS/9eegl++QX69tUGlyISW0uX2lxv377W1J1EkitcAA46yA4WmzHD5mFERGIhM9MC5YgjYNQo19XEXfKFC9hjseuvh5tvho8/dl2NiCSacNjmeTdvtkditWq5rijukjNcwDr3jz8eeva0La9FRKLl4Ydh3jybbzngANfVOJG84VKzJrz4ojVWXnqpbX0tIlJV779vexoOGQJ//avrapxJ3nABaN7czlB48024/37X1YhI0P36q92stm9vux0nseQOF4COHeHuu+0cmDfecF2NiARVQYEFS0qKNWtXT542wpIoXADuvBM6dYJLLoGffnJdjYgE0d132wKhadNgr71cV+OcwgUK7zTq1LEJ/m3bXFckIkEyezaMHm2P10891XU1vqBwidhzT+t9WbLEJuKK8DyPDRs2sHr1ajZs2ICn5suk43kemZmZAGRmZuoaSEKlvg+sWgVXXQXnnmstDgIoXHZ24ol295GRAS+9RFZWFhkZGaSnp9OkSRNatmxJkyZNSE9PJyMjg6ysLNcVS4wVvQbO6tABgLM6dNA1kETKeh94bNQoCnr0sHNZnnoqKTakLDdPdhYOe96FF3rb69Txjk5N9UKhkBcKhTzgz/8iH6tbt643f/581xVLjMyfP9+rW7fun//ebW3DIK+troGkUfwaKP4+8Dh4WeAtevxx16X6jkYuxYVCvNWjB9/n5DAlN5dUz9vlEYj3x8dyc3Pp0qULCxYscFSsxMqCBQvo0qULubm5f/57F6VrIPHt7hq42PO4ErghFOK0QYN0DRQT8or/xJJcVlYWzZs3p2VODh97HjOBK8r4/JSUFFJTU1mzZg0NGjSIT5ESU5FrIDc3l3A4/OfH2wJLgWOAZUU+X9dA4intGohoA3wAvARcg66BkmjkUszkyZPJycnhS8/jGuAyoG8Znx8Oh8nJyWHKlClxqlBiLXINlPSmUhJdA4mnrGsgDXgB+B9w/R8f0zWwK41civA8j/T0dFauXPnnEHgc0Bs4FbtrLUkoFKJVq1YsX76ckCb0Aq2kayCitJEL6BpIJGVdAwDTgI7AycCKIh/XNbAzjVyK2LhxIytWrNjpgroR+BJYBFwKlHTJeJ7HihUr2LRpU3wKlZgp6RoAqAVcWcbX6RpIHKVdAwAZQFfsacaKYr+na2BnCpcitmzZssvH8oG3sTeXqcAq4EHgqBK+PlunWwZeSdfA+cDXQL9yfL2ugeAr6RqI6Ah8C8wr4+t1DRiFSxH16tXb5WN7YPMuk4HTsIuqD/A59oZzF3DgH5+bliRnYyeyotdAG+BN4BXgO+B47JHYt2V8va6B4CvpfSCiE3aDeW4ZX69rwChcimjcuDGtW7fe6XnpHUAqcDu2OqQ/sA/wV2AxcAuwHPhvrVo0evZZWLMm7nVL9DRu3JhjWrRgLHYDsT/QBfgb8H/YXEtuCV8XCoVo3bo1jRo1ilutEhslvQ9ErAHmAD2ABsV+T9fAzhQuRYRCIQYNGvTn/08HBgIjgF+KfF4BMB+4HNgLu9BSDz6Y0J13wv77w+mnw/jxOoQsaAoKCD3+OB+uX08v4FbgcMp+BFLU4MGDNZGbAIq/DxT3ArAd6FXC7+kaKKTVYsUUXd8+KxymDXAEkFfK5++0vj0UgldegenTYeFC2wqiY0c7R/v880HDZf96+2247jr46ivyL7mEQ2fN4oe8vHItR1aPQ+LZXZ/L2cC1wE3YkmRdA7vSyKWYBg0aMHPmTDphj0KGUHawhEIhZs2aZRfUHnvAFVfAggXw888wZoydod2rl23B3b07zJplp1+KP6xaBV27wllnQf368J//UGvqVJ6YNYtQKERKStkvkV2uAUkIkfeB0q6BN4AfsFVjKaGQroGSxGmbmWDZts3b3KKF925Kihf6Yw8hStlbbMGCBbv/81av9rwRIzzv6KM9Dzyvfn3Pu/xyz5s/3/O2b4/5X0dKkJ3tebff7nm1anles2ae9/zztq9cEbvbV6pC14AEUlnXwJHgvQZep9q1dQ2UQOFSksce87waNbzN77/vZWRkeK1bt97pomrdurWXkZHhZWVlVfzP/uYbz/vXvzwvPd2CpkkTz+vf3/M++MDzduyI/t9FdrZjh+dNnep5++5rwXLXXZ63ZUupn56ZmRn9a0ACpaxrYFGXLl7+JZd4Xl6e6zJ9R3MuxW3cCIceChdcAE8+CVhz1KZNm8jOziYtLY1GjRpVfdLO82DpUpufeeEFWLvWFgP07GlzNEcfre27o23xYhg8GD75BLp1g5EjoUWLcn1pTK4BCZQSr4F166B/f3vkfdFFrkv0FYVLcYMH2zGlX38NTZvG53uGw/DhhxY0L71kAXfIIXDhhXbBHnRQfOpIVL/+CrfdBpMmwZFH2nk9Z5zhuipJFJMn20mU48fboYMCKFx29vXXcMwxMHw43Hijmxq2b4e33rKgeeUV2LIFjj3WQqZnT2je3E1dQZSfb0Fy331Qq5YdQXvVVVC9uuvKJJHk5sI119iNy803u67GNxQuEZ4Hf/ubrR7673+hZk3XFdlFO3euBc3cubBtG7Rvb0HTrZvukkrjeTBnjt0grFoFAwbAPfdAw4auK5NE9dZb8Oij8NBD9tRBtBT5T3Pn2gUycqQ/ggUgNdVCZOZMWLcOnn3WPjZwIOy9N/z1rzB1Kmgvo0Jffw1nn23nmbdsaTcKGRkKFomts86C1q3tqGPdrwMauZj8fDjqKHszmjfP/xPp69fDyy/biObDD6F2bfj7321E87e/2f9PNpmZMHQoPPaYTdI//DCcc47//y0lcXz9Ndx6qzXjnnWW62qcU7iAvRHdfrut3jrsMNfVVMyPP8KLL1rQLFtmjYAXXGBBc9ZZiT+/sGMHTJgAd95pNwl33WUv7lq1XFcmyWjkSPjyS5vcT011XY1TCpf1623p8SWX2DPTIPv2W1vWPH06fP89NGlSuETylFNgN93mgfPeexYk//d/tjPC8OGwzz6uq5Jk9ttvcO219li2V0m7jyUPhUu/frYlyzffQOPGrquJDs+zUUykh2bNGthvv8KlzUHvofnhB7jlFlu2feKJdlNwwgmuqxIx06bZe8q4cTY3mqSSO1w+/9zelB55xFYUJaKSemgOPthCJmg9NFu3wogR9uihUSP73xdfnHgjMgm2vDwbvRx0kPVXJankDRfPszmJ336zuZYaNVxXFHuRHpoXXrAemuxs6+uJ9NDst5/rCkvmeVbzP/9pjzFvvtletGUc6iTi1Lvv2lzusGFwxBGuq3EiecNl5kx7TDR3LnTq5Lqa+MvNtZVxzz9vP4P8/J17aJo0cV2hWbLE5lUWLbKFCqNGQatWrqsSKZvn2c3Qtm32ZCQJR9fJ9zcGe2MdMsSW7SZjsICtZOnatbCHZtIkqFMHBg2ySfG//hWmTLEjA1xYt8666Y8/Hn7/3UZcs2YpWCQYQiHo29eaeN9803U1TiRnuIwZYxtFjhrluhJ/2GMPuPxymD8ffvnFJsi3bLGPNW1a2MgZj3Notm2D0aPtefWsWTB2rC1OUN+ABM1BB8GZZ1qj89atrquJu+R7LPbzz9bL0revTQxL6Yr30KSl7dxDE+15qnnz4IYb4H//swnRoUMTZwWfJKdNm2xF6tlnQ+/erquJq+QLl9694d//tqXHOjWu/L77zkIm0kOz556FPTSnnlq1Z8rffmv7gP3733anN2ZM0k6CSgKaMcNeN489Bs2aua4mbpIrXBYvtmbCxx+3kYtUXGk9NJFzaNq2LX8PTVaW7Vj86KP2Z4weDeefH+weHJHitm2zM18OOMB2kEgSyRMunmeroXJyLGSqVXNdUfCFw7aKK9JDs2GD9dBEmjUPPrjkr9uxA555Bu64w/497rjDHocl455okhwWLbK+rHvuseX/SSB5wuX5522C+q234PTTXVeTeLZvh4ULC8+hKa2H5oMPbGnxsmVw2WXwwANJ9ahAkpTn2f6FmzfbSD0Jbm6TI1y2boU2bawbf8YM19UkvkgPzfTpdq5Kfr797HfssL6V44+3bfBPPtl1pSLxs3KljdD79rVdzBNccixFHjXKOvFHjHBdSXKI9NC8/DKsXm3zKJ99ZsGSkmJbtyxf7q6HRsSFVq2gY0d7ipIEZzAlfrj8+KOFyw032HktEh+eZ6PEE0+0Ucwtt9id22OP2TzL5ZfDXnsV9tDk5rquWCT2Lr3U5iqff951JTGX+I/FLrkE3n/fDvJJS3NdTXL4/HObV3n/fdt6fPRoOPDAnT/np58Ke2iWLo19D42IX7zyCkyebHMv++/vupqYSeyRy6JFdvc8bJiCJR5++w2uucYm8n/7DRYsgNde2zVYwCb4b77ZHpV9+y3cdBN8+qltO7PvvrZ084MP7C5PJJGcc47tfPH00wl9JHLijlzCYZswDoXgo4+ScuO4uNm+3c6uuOce+3kPHWod9hUdfXiejXoiPTQ//VT5HhoRP/vPf+D+++0E1QQ9iyhxw2XyZNv48P33tSoplhYsgOuvt679q6+2psg996z6n1tSD81BBxWeQ1NaD41IEHge3H23bdA6blxCHkeemOGyebPtH/aXv9imcRJ9y5fbli1z5ljfUEYGHHVUbL5XST00bdtayFx4oX/PoREpy48/wuDBtrjlggtcVxN1ifms6MEHLWCGD3ddSeLZvNnOqWjTBr74wkYV77wTu2ABe7x29tk2Gl23zpY4t2plW2nsv7/tvPD44zbPIxIU++9vc4wvvmjHSiSYxBu5rFxpmx4OGQL/+pfrahJHOGxv7rfdZiOH226zSfjUVHc1bd4Mr75qI5rImRkdOtiI5oILoH59d7WJlEd2ti2COfXUhDtqPfHCpXt3a9j76is7/Eqq7qOPbPi+ZImdWT9iBDRv7rqqnf32m41opk+3VWa1akGXLhY0Xbq4DUGRssyebSvHHnkkoQ7DS6zHYu+8Y3eyDzygYImGNWusT+jUU20C8sMPYdo0/wUL2LHM115rCzh+/NFW4qxebTcbTZtCr162pf/27a4rFdnZ3/5mr6kEW5qcOCOXggLbsyotDd57T0tWqyI3Fx5+2Oas6tWzsL7iimAu5/7++8JzaL77zlaydetmI5p27YL5d5LEs3SpLeUfMsRu5hJA4oTLU0/ZM8uPP4bjjnNdTTB5nh0tfPPNdgz0ddfZpHkizF2U1EPTvHlhD80xx+iGRNy6914bdT/+ONSs6bqaKkuMcMnKgkMPteHlxImuqwmm//7X+lXeecfmKB5+2PpKElE4bPNIkR6a336zv2vkHJpDDnFdoSSjtWth4ECb1+ze3XU1VZYYzwTuvx/y8uxXqZiNG23E17Yt/PyzbTI5Z07iBgvYo7B27ax57eefYf58a7QdM8ZuUtq2hZEj7S5SJF6aNbOtYV56CTZtcl1NlQV/5PLdd3D00YXPK6V8tm+H8eOtSzgctl8HDkzuDSPz8nY+hyYvz0LooovsTrJJE9cVSqLbutWWJh93nD1JCLDgh8u558I331hDn47JLZ+33rL5lG++sS1y7r/ftr+XQps326ab06fDG2/YxyI9NOefD3vs4bQ8SWDz59u8y6hRgX6CEOzHYgsW2PLSESMULOWxYoW9MXbsCI0bW9/KU08pWEpSv74dwzxvHvz6q51Dk5trq+aaNi08DE3n0Ei0deoELVoEfmlycEcu27fbs/G997bubK30KV12ti0rfvhhe2McORJ69NDPrDLWrCk8h2bJElv6fv75NqLp0CG5HytK9HzxBdxxh+2CcfrprquplOCGy9ixtmR28WI48kjX1fhTOAzPPQe33mor6oYMsRMh1WAaHd9/b8uap0+3M2kaN7a5GfXQSDQ88IBdY088EcgnM8EMlw0bbFVPt272g5ddffqpbdnyn/9YL8dDDyX0qXdOeR783/8V9tD8+KN6aKTqfv3VDs3r1s2WJwdMMG+thg61u/KhQ11X4j8//2xbeJ90EmzbZtuhvPCCgiWWQiFbsThiBKxaZdvknHsuTJliq34OPthW4337retKJUj23tseuc6aFcgdv4M3cvnqK7sTHDEi8Ev1oiovzza+GzbMNmkcPhx694Zq1VxXlrwKCnY+h2bzZguhyDk0CnzZndxc6NcPDj/cHmkHSLDCxfPsXI+ffrKtPBJgi4Qq8zxbMnvTTfY4ZtAgO2qgQQPXlUlRJfXQnHpqYQ+NVuxJaRYutMP4HnzQDkEMiGA9Fps9G95+21Y7KVhsFNepk51dctBBtsLk4YcVLH5Uuzb84x/Wfb1+vT0yq1/fRt/77gudO8OkSQl5aJRU0ZlnwoEHBm5pcnBGLvn5tiqsdWuYOze5J0g3bbJn+E88Yec/PPKI7auWzD+ToNqwYedzaGrWtH/Liy6Cv/9d59CI+eYbW+05eLAteQ+A4IxcHnsMfvgBRo9O3jfRggLr3E1Pt1MhR4yAL7+0jSaT9WcSdHvuac/U33vPHmsOG2a/9uhhj8oijZw6hya5HXoonHYaTJ0amMbdYIxc1q2zH26vXra5YDJ65x3bsuXLL22iftgwa4iUxFRSD023bnZ4W/v2rqsTFzZssBuRc8+190Kfi3u4rP/uO3IquttsOAw7dlS6+3nP446jXsOGlfraWFj/3Xfk/PBDXL/nnscf76ufQbKr8DXgefZfKFTpUaquAX/JWruW/PXrK/ZFa9fanN1RR1WqSbd+ejqp9epV+Osqo3pcvksRP8ybx8HdusXnmz37LBx5JBtWrfLVi2r1nDkc0qOH/R/Pg19+gc8+szvULVugUSNbenjMMfa/o8BvP4Nkt9M1EGsTJ8JRR+ka8Jn1ixfTvKxTJ8NhWLnSdn7//Xdo2NB6po49FqpX7q1787p1iRsunudRf7/9Yv1NLFiGDYPHH2eTz/oJPM+jfvPmttprxAjbBTUlxbq669a1Pauefdb+d8+ecMMNtqKoCvMqmwLYhJXI4vY6eOYZ2/V6/Hg2HXBAbL+fVIjnedQp6RgHz7Nm3GeegeXLbV6ufn27+Zw7F9q0sUfjzZpV+D0he/PmKFW/e3EPl5iLvKD697fJ/969Ydky11Xtavhw2zvo6KPt0Kr27W2UUq2aTd6uW2cTuWPH2rLVhx6y56zar0rKw/NsxNKvny1P79PHn68D2ZnnWV/Lk0/CEUfY0cctWthIZds2G8k8/7ztq3jddbYTh08X8yTWO1XxYBkwwLc/eI44wlZ+vf22rQzaZx+oVcsuotRUu6CuvdY25hwwwA4Q6tdPq4Zk94oHy6BB/n0dSCHPsxvKceNsL7E77rDHYLVq2U1naqqNWoYOtRWiDz1kWw35dE1W4oxcghQsYMeZQtk1hkJQr5513J92mjVLrl0Lr76qrd2lZAqW4PrsM5gwwd7DOnYs/d+tenW49FILm4cfthNSDzkkvrWWQ2KMXIIWLFCxVT+hEJxxBnzyCXz8sXV679gR0/IkgBQswbVpk23v0rVr2cESEQrZ5555pjVU5+TEp84KCH64RF5Q/fvbCyoIwVIZoZDdnXz0kT2THTjQt8NhccDzbHuQfv1sxwYFS3B4nj0Ca9HC+pgqctPZv79t9zR0qO/eD4IdLpFgGTDAgqV//8R/QR1yiB3v/OST1q0rEgmWa6+1YBk4MPFfB4lkzhxbwDN0aMUX7FSrZqtiv/vOnmr4SHDDJRmDJaJdO9u8s3dv2ypEkpeCJdjy8uyR/tVX2/xqZTRubI/IHnnEtojyiWCGSzIHC9jf9cYb4eST7XztcNh1ReKCgiX4nnzSelg6d678nxEK2eqylBTbc9AnghcuRYPlkUeSL1giQiFbtvjLL7YWXpJL0WAZM0bBElQ9etiEfFX/7apVsxvO2bNtB3kfCFa4FA+Wa69N7hdUWprNu9x7r+03JMmheLAk6iKWZLDPPtCyZXT+rBNOsF09nngiOn9eFQUnXCIvKAXLzrp1s8aqs8/23WoRiQHPs14IBUviiNa/XyhkRyG/+64vmq2DES6RYBk4UMFSXChkq8eWLbNuXUlckWDp31/BIiU76ijr6PfBSlL/h4uCZff22cc6ds8/X6OXRKVgkfIIhazXafZs5wt9/B0uCpbyCYXsjScryw6YksSiYJGKOP10u2Y++shpGf4Nl6LBMmaMgmV3ateGf/7Tdr/V0uTE4Xnw1FMWLBkZChbZvZQU6NDBNsZ1+CTDn+FSPFj69dMLqjzuvde25fbB81aJgkiwDBhgwZKsy+6l4vr0ga1bITPTWQn+CxcFS+XVqAG33mqjPM29BJuCRaqidm07ZGzcOGcl+CtcFCxVd/fdtqXE66+7rkQqS8EiVRUK2ealS5Y4e0zun3CJTFoOHGgvKAVL5dSoYUPiK67Q6CWIPM+2BBkwAB59VMEilXfUUfbrl186+fb+CJdIsAwaZMFyzTV6QVVFRoatHPviC9eVSEVEgmXgQAsWLWKRqgiF7MRbR4/G3IeLgiX66tSBU0+F7t01egkKBYvEwoAB8OuvTg4XdBsuCpbYmT4dvv8eNm92XYnsjoJFYqVpU1ua7GD3DnfhEpm0HDTIXlAKluhq3txWiwwc6LoSKYvnwfjx9u80dqyCRaIrFIKTToJnn437t3YTLpERy+DBFixXX60XVLSFQrbybto0NVX6VWTEMmiQBYsWsUgs9Olj/S5xfjTmJlyefrpwxKJgiZ1zzrFfZ892W4eULLI6UsEisdS4sV1bn3wS129bPa7fDQgB+QDDh9vpaVu3xrsE50JA/pYt8flml11mZ73st198vp+USwjI9zx44AHbdDQJXwfJLgRsz82Nzzc77TTIzoa9947P9wNCnhff5UQ/fvopOT/8EM9vSdPTTqNhHH+ou/PjJ5/E72cQDkNKCk1PP91XP4NkF9dr4A+6Bvzlt+++Iz/Oh/w1OPxw6jVsGJfvFfdwERGRxOe+z6U8PE+T0iKep76lZFdQAL//7rqKcglGuIwda6erPfxw8r64li61SbmlS11XIq5ccAE0bAhvv+26EnFh/Xq47jpbZZuf77qa3QpGuAwcCLfdBkOG2CqzggLXFYnE35Qp1rPQuTNMnuy6Gomn//0PbrnFjtQYPtxutn0uGOGSkmJnlTz5pC1j7toV4rXaSsQv6te3ZeVXXGH/DR2avCP5ZLJ4sd1cN2kCo0ZBs2auKyqXuC9FrpLeva3z/MIL4cwz4bXX7Px4kWRRo4btbNGqFdx+O6xaZf+/Zk3XlUkszJtnN9UnnQQ33hiIEUtEMEYuRXXqBO++a88f27WDr792XZFIfIVCdic7bZrtIffXv9ou2JI4PM+2bBk/3pqhhwwJVLBAEMMF4MgjbSO2PfaA9u01wSnJ6eKL4c03Ydkyu9GKc9+MxMi2bfDQQ/Dqq9C3L1x1lU0NBEzwKo5o3txGMCedBF262GSnSLI57TT46CPIybHXwpIlriuSqvj9d7jzTptnuf32wi2cAii44QI2wfnqq9Crl23Odu+9muCU5HPIIbZv1P77W9jMmeO6IqmMn3+2FWG//GLbAp14ouuKqiTY4QI2wTl+PNx/P9x3n4XMtm2uqxKJr732gnfesTnJ886Dxx93XZFUxDffWLBUr24rwtLTXVdUZcEPF7AJziFDYOpUePFF+PvfNcEpyadOHXj5ZWuyGzDA3qy0s4X/ffihPQo74ACba2na1HVFURGspci7c+GFtga8a1d7PDB7tv2DiSSLatXgkUegZUu4/npYvdrmI1NTXVcmxXkevPIKTJoEZ5xhDeI1ariuKmoSY+RSVPv28MEHkJtrK2i0XYoko8GDYdYsmDsXzjoLfvvNdUVS1I4d9jh/0iTo2RNuuCGhggUSMVwADj4YFi2yM0z+8hd7gYkkm/PPtxWVK1bAKafA8uWuKxKAvDwYNgwWLLDRyiWXJORBcYkZLmATnG+9BR07wj/+YXcJIsnmhBNsJVm1anDyyXbTJe5s2gS33gpffQV3323vTwkqccMFbILzxRdt48tBg2zSXxOckmxatrRemMMPt0dkL73kuqLk9MMPcPPNsHkzjBgBbdu6riimEjtcwO7YRo+2Sc5HHrGu5ngdLSriF40a2WOYrl2hRw8YOVI9YfH0f/9nN7dpafazb9HCdUUxl1irxcoycKA1mV16qfUCzJplu4yKJItateC552zTy3/+E1autLOSqifP24ATCxfCY4/BUUdZwCTJyr3EH7kUde659g+9cqWtKvvf/1xXJBJfoZA1Gz/9NEyYYA2XOr4iNjwPnn8eMjKgQwe4666kCRZItnABOP54m9SsXt2WKn/0keuKROKvTx/bzv2DD6wn7OefXVeUWAoKYMwYeOEFuPxy6N/fHtEnkeQLF7DnnR98AG3a2CMyTXBKMurUybrD16+3TS+//NJ1RYlhyxZbCfbBB7ZLQteuCbnUeHeSM1zAziKfN8/+4S++2Pbz0QSnJJsjj4RPP7UJ/1NPtcfGUnnr19u8yurV9vixfXvXFTmTvOECNsE5aZJtbX3bbTbpX1DguiqR+GrWzO6yTzkFzj7bXhNScf/7ny013r7d9ghr08Z1RU4ld7iADVeHDrWjYidOtIZLTXBKsklLg9dfhyuvtP/uvlsj+Yr4z3/sBnWvvWypcUDOuY8lrUGMuPJKO4CsZ0/bMua112DffV1XJRI/NWrYee2tWtkb5apVtqqsZk3Xlfnb3Ll2c3rSSXDTTfp5/UEjl6I6doT33oMNG2wl2Vdfua5IJL5CIdueZPp0293i7LN1fEVpPA+eecYC+bzzbK5FwfInhUtxRxxhK2gaNrQlmprglGR04YW2N9/nn9tE/+rVrivyl23bbAuX116Da66B3r0Dec59LOmnUZJmzWw32ZNPtoPHpkxxXZFI/LVvDx9/bLv4nnQSfPaZ64r84fff4Y47YMkS+7VLF9cV+ZLCpTRpafDqq3DFFdZwNnSoJjgl+Rx8sAVMixZw+ul2AF8yW7vWelfWrbNz7k84wXVFvqVwKUv16nYW+bBhcP/9NvTdts11VSLxtdde8Pbb0LmznREzbpzritz4+mvbk61GDeuLO/BA1xX5msJld0Ihu6Ceew5mzLAhcGam66pE4qtOHdvJ4rrrrB/s5puT6/iKDz6wc+5btLC5lr32cl2R72kpcnn17GlzMf/4h030z5kDBxzguiqR+KlWDR5+2M6Hue46m+SfOjWxN2P0PNtBffLkhDznPpY0cqmIdu1sJVl+vq2gWbLEdUUi8TdoELzyim2fdOaZ8NtvriuKjR074IknLFgS9Jz7WFK4VNRBB1nAHHCAvbDmzHFdkUj8nXee9YStXGmrKr//3nVF0ZWba3uDvfkmDB6csOfcx5LCpTL22ssuuk6dbOPLJ55wXZFI/B1/PHzyiTUOnnyy3XQlgo0bbYeCb7+1bXA6dHBdUSApXCqrTh07q2HQILuzueWW5JrgFAGbf1m0yJqPO3Swrv4g++EHey1Hzrk/+mjXFQWWwqUqqlWzJYljxsCjj8JFF9lwWiSZNGwICxZA9+7W2T9iRDB7wj7/3FaG1q9vr2st2KkSrRaLhgEDYP/97blsx4422dmkieuqROKnVi3byaJFC9ubbNUqOze+ekDeYt56y/p3jj7aAiaRV8DFiUYu0XLOOdZotnq1rSRbvtx1RSLxFQrZJPjEifbfuedCdrbrqsrmeTBtmj156NjRelkULFGhcImm446z58+1atmy5UWLXFckEn+9e9sy5Q8/tJ6wn392XVHJtm+HRx6xeaIrroBrr026c+5jSeESbQccAO+/bxOcnTpZV79IsunY0W6uNmyAE0+EL75wXdHOtmyBe+6xGm+5xZqjtdQ4qhQusdCwoR0g1L27zcOMHBnMCU6RqjjiCPj0U9hzT3tU/Oabrisy69bZvIrOuY8phUus1KoFzz5rW3LffrtN+hcUuK5KJL723ddG8u3awd/+ZodrubR8ue2LVlBg59wfdpjbehKYwiWWQiEbek+YYEFz/vn+n+AUiba0NHj9dTu6ok8fuOsuNyP5Tz+15si999Y593EQkHWCAXfFFdC8ue1P9Je/2Ol1urAlmVSvbjtZtGplxwGvXg1PP20j/HiYM8du8k4+GW68UccRx4FGLvHSoYPtxbRxoz0i+PJL1xWJxFfk+IoXXrCFLmefHfvjK8JhC7GnntI593GmcImnww+31SmNG9sSzbfecl2RSPz17AkLF8J//2sT/atXx+b75OfbbgGzZxeec68VYXGjcIm3ffeFd96xF9U558CkSa4rEom/du3go48sAE48ERYvju6fHznnfulSnXPviMLFhbQ02yLmyiuhb1/beVVLlSXZHHyw7arcqpUdxPX669H5c9eutRVh69frnHuHFC6uVK9uexk98AAMH26T/vn5rqsSia8mTWzbpLPPttWUY8dW7c/76itriqxZU+fcO6ZwcSkUsjusadPg5Zdt6F7CBKfneWT+8fHMzEw8jXIkkaSmwksv2UmPgwfbaq4dO3b5NM/z2LBhA6tXr2bDhg27vg7ef9+WObdsaT0sOufeKYWLH/ToAW+8YVtktG//5wRnVlYWGRkZpKenc9YfBxad1aED6enpZGRkkJWV5a5mkWhKSYHRo23kkpFhu1vk5AA7vw6aNGlCy5YtadKkSeHrIDPTbs5GjbLXz9ChULeu47+QhDzdBvvH8uU2etm6lY9vvZWOt91Gzh8vsKM9j6XAMcDnf6x4qVOnDjNnzqRz587uahaJttmz7VyYI47gnRtu4Jw+ff58HRR9uwqFQqR4HoNr1uTWtm3Za/BgO1NJK8J8QSMXP0lPh0WLyGzQgDaDB9MhJwfP83YZ/kc+lpubS5cuXViwYIGjgkVi4Jxz4L33yP/+e/a/8EL2K+V1UMvzuBM4bds2Ll28mAWNGytYfETh4jNZNWqQvno184EZnkf/Mj43HA7jeR5du3bVIzJJKFkHHkjbvDzygUWeR7tiv98YeBA4BLgbWAh6HfiMwsVnJk+ezKbcXC4Exvzx3yhK/4cKh8Pk5OQwZcqUOFUoEnuTJ0/m27w8TgX+D3gL6PnH7x0AjATSgCHAf9HrwI805+IjnueRnp7OypUr/3wE0A8LmPeBjticy7JiXxcKhWjVqhXLly8npMcCEnDFXwc1gKeBXsCjQFPgF+BeoOjaSr0O/EXh4iMbNmygSZMmu3y8CzAdu1MrKVyKfn3jxo1jV6BIHJT2OhgJ3Ay8DFwKlNYVpteBP+ixmI9s2bKlxI/PBa4px9dnazt/SQClvQ5uAQYCF1N6sIBeB36hLfd9pF69eqX+3qvYqOXbMr4+LS0tyhWJxF9Zr4Nx5fh6vQ78QSMXH2ncuDGtW7cu8XlxLvY4LLeErwuFQrRu3ZpGjRrFukSRmCvrdVAWvQ78ReHiI6FQiEGDBlXqawcPHqxJTEkIeh0kBk3o+0xWVhbNmzcnNzeXcDi8289PSUkhNTWVNWvW0KBBg9gXKBIHeh0En0YuPtOgQQNmzpxpW1uklP3Pk5KSQigUYtasWXpBSULR6yD4FC4+1LlzZ+bOnUtqaiqhUGiXYX7kY6mpqcybN49OnTo5qlQkdvQ6CDaFi0917tyZNWvWMGbMGFq1arXT77Vq1YoxY8awdu1avaAkoel1EFyacwkAz/PYtGkT2dnZpKWl0ahRI01aStLR6yBYFC4iIhJ1eiwmIiJRp3AREZGoU7iIiEjUKVxERCTqFC4iIhJ1ChcREYk6hYuIiESdwkVERKJO4SIiIlGncBERkahTuIiISNQpXEREJOoULiIiEnUKFxERibr/B7KVoyQY3EgwAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:43.693595Z",
     "start_time": "2024-05-09T06:27:43.660702Z"
    }
   },
   "cell_type": "code",
   "source": "model.symbolic_formula()",
   "id": "e0e6a6c82ea4697a",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "make sure all activations need to be converted to symbolic formulas first!\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-09T06:27:43.696569Z",
     "start_time": "2024-05-09T06:27:43.694578Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "d4cf25a93d7d3f35",
   "outputs": [],
   "execution_count": 9
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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